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 A272876 Decimal expansion of the imaginary part of the infinite nested power (1+(1+(1+...)^i)^i)^i, with i being the imaginary unit. 6
 4, 0, 7, 5, 6, 3, 9, 3, 0, 5, 4, 5, 6, 2, 1, 8, 4, 4, 7, 3, 9, 6, 6, 3, 2, 4, 3, 3, 9, 4, 1, 5, 2, 0, 8, 8, 6, 4, 0, 6, 2, 7, 9, 9, 2, 8, 6, 6, 7, 7, 5, 1, 0, 3, 0, 4, 8, 7, 4, 8, 3, 5, 6, 7, 7, 0, 4, 0, 2, 1, 5, 5, 3, 9, 4, 8, 2, 2, 1, 5, 4, 2, 1, 4, 9, 1, 3, 9, 2, 7, 4, 8, 9, 9, 2, 3, 5, 0, 4, 0, 4, 8, 5, 8, 0 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS The real part and the modulus of this complex constant are in A272875 and A272877, respectively. For more information, see A272875. LINKS Stanislav Sykora, Table of n, a(n) for n = 0..2000 EXAMPLE 0.40756393054562184473966324339415208864062799286677510304874835... PROG (PARI) \\ f(x) computes (x+(x+...)^i)^i, provided that it converges: f(x)={my(z=1.0, zlast=0.0, eps=10.0^(1-default(realprecision))); while(abs(z-zlast)>eps, zlast=z; z=(x+z)^I); return(z)} \\ To compute this constant, use: z0 = f(1); imag(z0) CROSSREFS Cf. A156590, A272875, A272877. Sequence in context: A157698 A251967 A057641 * A133930 A077892 A117543 Adjacent sequences:  A272873 A272874 A272875 * A272877 A272878 A272879 KEYWORD nonn,cons AUTHOR Stanislav Sykora, May 15 2016 STATUS approved

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Last modified August 20 16:47 EDT 2018. Contains 313925 sequences. (Running on oeis4.)